We present a detailed study of the collider observable m(T2) applied for pair-produced superparticles decaying to visible particles and a pair of invisible lightest super-symmetric particles (LSPs). Analytic expressions of the maximum of m(T2) over all events (m(T2)(max)) are derived. It is noticed that if the decay product of each superparticle involves more than one visible particle, m(T2)(max) being a function of the trial LSP mass m(chi) has a kink structure at m(chi) = true LSP mass, which can be used to determine the mother superparticle mass and the LSP mass simultaneously. To see how well m(T2)(max) can be constructed from collider data, a Monte-Carlo analysis of the gluino m(T2) is performed for some superparticle spectra.